The needs of backpacking and bicycling may be quite different. Although it may depend on your goals of the trip.

For a week long backpack trip, you need to carry most of your food, along with a tent, sleeping bag, fishing pole, and etc.

On my bicycling trips, I don't think I ever carried more than a day or two's worth of food. More is always available somewhere. But I wouldn't get too excited about super-light food either.

If you are cycling with a group that you know, then plan on distributing some items among the group (any way to get group interchangeable parts?). So, everyone might carry a pump and tubes, but only carry a spare tire for the whole group, and oil, grease, cone wrenches, spoke wrenches, and etc could be carried by the group not the individual.